Questions in mathematics

Questions in mathematics

📝 Answered - The table shows the height of teak trees harvested by a farmer. | Height(m) | 3 | 4 | 5 | 6 | 7 | 8 | |---|---|---|---|---|---|---| | Number of trees | 4 | 6 | 4 | 5 | 6 | 2 |

📝 Answered - If $1=5, 2=25$, what is 10?

📝 Answered - Which translation maps the graph of the function [tex]f(x)=x^2[/tex] onto the function [tex]g(x)=x^2-6 x+6[/tex] ? A. left 3 units, down 3 units B. right 3 units, down 3 units C. left 6 units, down 1 unit D. right 6 units, down 1 unit

📝 Answered - Solve the equation and check the solution. [tex]$-y=8$[/tex]

📝 Answered - Completely simplify the rational expression $\frac{18 x^3 y}{6 x y^3}$. State any restrictions on the variables.

📝 Answered - A ship sails 9 km from point Apapa to BarBeach on a bearing of $138^0$. It then changes its course and moves due west until it reaches CMS, which is south of Apapa. Calculate the distance between Bar-Beach and CMS. [Take; $\operatorname{Sin} 42^0=0.6991$, $\begin{array}{l} \cos 42^{\circ}=0.7431, \tan 42^{\circ}=0.9004 \\ \left.\cos 48^{\circ}=0.6691\right]$ $\end{array}$

📝 Answered - The ages of $n$ teachers are: $\begin{array}{llllllllll} 21 & 37 & 49 & 27 & 49 & 22 & 26 & 33 & 46 & 40 \ 50 & 29 & 23 & 24 & 29 & 31 & 36 & 22 & 27 & 58 \ 31 & 26 & 42 & 39 & 34 & 23 & 21 & 32 & 41 & 46 \ 46 & 21 & 33 & 29 & 28 & 43 & 47 & 40 & 34 & 44 \ 26 & 38 & 34 & 49 & 45 & 27 & 25 & 33 & 39 & 40 \end{array}$ a. Form a frequency distribution table with the data using intervals of 21-25, 26-30, 31-35... b. Calculate the mode, mean, and median. c. Calculate the variance and standard deviation.

📝 Answered - Solve [tex]10r=80[/tex]

📝 Answered - Find $\sin \theta$. $\tan \theta=-\frac{\sqrt{5}}{4}, \cos \theta>0$ $\sin \theta=$ $\square$ (Simplify your answer, including any radicals.)

📝 Answered - The proportion used to find the average number of trout you would expect to live in the pond is [tex]\frac{7}{20}=\frac{x}{400}[/tex] Solve the proportion to find the expected number of trout in the population. The expected number of trout in the population is $\square$